Although mid-table in the London & South East Premier Division, Carshalton have one of the league’s best attacks and were always a potential banana skin.
But Wasps had the quality in front of goal to remain unbeaten after 11 games and stay on track for promotion to the FA Women’s Premier League.
To shake off any rustiness following the Christmas period, Wasps took on Reading’s development side and Crystal Palace in friendlies – and they demonstrated their sharpness at Colston Avenue with their quickest goal of the season.
Faye Rabson burned past a defender on the left before crossing for Webber to turn in from close range.
Carshalton levelled, though, on 13 minutes as Tori Adlam latched on to a superb through ball before finishing.
Suzanne Davies fired narrowly wide as Wasps attempted to regain their lead, which they did when Rabson’s low ball was eventually finished off by Webber for her second.
The lively Rabson forced Marlow to tip a shot on to the crossbar just before the break, and immediately after the restart produced a superb run and finish having stolen the ball in the Carshalton half.
Carshalton quickly responded, however, as Laura Curtis capitalised on sloppy defending before blasting home.
But midway through the second half, Wasps extended their lead with Cole controlling Jenny Drury’s pass and clipping into the corner.
Davies’ header brought a good block from Marlow, before Elphick broke her Wasps duck on her 37th appearance, spectacularly beating the keeper from more than 25 yards.
Wasps: Gibbs; Duncan, Niamh Stephenson, Carter, Ward; Drury, Cole; Davies, T. Smith, Rabson; Webber. Subs: Elphick, O’Hagan.